A curve $C$ is given by

You are given that $C$ has no stationary inflection points.

1. Show that the curve experiences a turning point for some $x$ where $0.8<x<0.9.$ Use your working to explain whether this is a minimum or a maximum point. (You are given that there is only one turning point between $x=0.8$ and $x=0.9.$)

2. Show that $x=0$ is a point of inflection of $C$. Show further that $C$ has another point of inflection for some $x$ where $2.2<x<2.3.$

Give the coordinates of the second point of inflection, correct to $3$ significant figures.